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SageMath
E = EllipticCurve("ll1")
E.isogeny_class()
Elliptic curves in class 352800ll
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.ll1 | 352800ll1 | \([0, 0, 0, -7203000, 7495922000]\) | \(-3136000/27\) | \(-355837460868288000000\) | \([]\) | \(13934592\) | \(2.7684\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800ll1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800ll do not have complex multiplication.Modular form 352800.2.a.ll
sage: E.q_eigenform(10)